Spyridon Kamvissis is a researcher at the Max Planck Institute of Mathematics in Bonn, Germany, and a Professor of Mathematics at the National Technical University in Athens, Greece. Kenneth D. T-R McLaughlin is Associate Professor of Mathematics at the University of North Carolina, Chapel Hill. Peter D. Miller is Assistant Professor of Mathematics at the University of Michigan, Ann Arbor.

"Overall, this ... book [gives] a deep insight into the application of inverse scattering to equation... Most of the current books on solution theory tend to focus mainly on inverse scattering for the KdV equation, so a book that concentrates solely on the NLS equation is refreshing."--Peter Clarkson, Bulletin of the London Mathematical Society

• *Frontmatter, pg. i*Contents, pg. v*Figures and Tables, pg. ix*Preface, pg. xi*Chapter 1. Introduction and Overview, pg. 1*Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons, pg. 13*Chapter 3. Semiclassical Soliton Ensembles, pg. 23*Chapter 4. Asymptotic Analysis of the Inverse Problem, pg. 37*Chapter 5. Direct Construction of the Complex Phase, pg. 121*Chapter 6. The Genus - Zero Ansatz, pg. 163*Chapter 7. The Transition to Genus Two, pg. 195*Chapter 8. Variational Theory of the Complex Phase, pg. 215*Chapter 9. Conclusion and Outlook, pg. 223*Appendix A. Holder Theory of Local Riemann-Hilbert Problems, pg. 229*Appendix B. Near-Identity Riemann-Hilbert Problems in L2, pg. 253*Bibliography, pg. 255*Index, pg. 259

Spyridon Kamvissis is a researcher at the Max Planck Institute of Mathematics in Bonn, Germany, and a Professor of Mathematics at the National Technical University in Athens, Greece. Kenneth D. T-R McLaughlin is Associate Professor of Mathematics at the University of North Carolina, Chapel Hill. Peter D. Miller is Assistant Professor of Mathematics at the University of Michigan, Ann Arbor.

"Overall, this ... book [gives] a deep insight into the application of inverse scattering to equation... Most of the current books on solution theory tend to focus mainly on inverse scattering for the KdV equation, so a book that concentrates solely on the NLS equation is refreshing."--Peter Clarkson, Bulletin of the London Mathematical Society

• *Frontmatter, pg. i*Contents, pg. v*Figures and Tables, pg. ix*Preface, pg. xi*Chapter 1. Introduction and Overview, pg. 1*Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons, pg. 13*Chapter 3. Semiclassical Soliton Ensembles, pg. 23*Chapter 4. Asymptotic Analysis of the Inverse Problem, pg. 37*Chapter 5. Direct Construction of the Complex Phase, pg. 121*Chapter 6. The Genus - Zero Ansatz, pg. 163*Chapter 7. The Transition to Genus Two, pg. 195*Chapter 8. Variational Theory of the Complex Phase, pg. 215*Chapter 9. Conclusion and Outlook, pg. 223*Appendix A. Holder Theory of Local Riemann-Hilbert Problems, pg. 229*Appendix B. Near-Identity Riemann-Hilbert Problems in L2, pg. 253*Bibliography, pg. 255*Index, pg. 259

Spyridon Kamvissis is a researcher at the Max Planck Institute of Mathematics in Bonn, Germany, and a Professor of Mathematics at the National Technical University in Athens, Greece. Kenneth D. T-R McLaughlin is Associate Professor of Mathematics at the University of North Carolina, Chapel Hill. Peter D. Miller is Assistant Professor of Mathematics at the University of Michigan, Ann Arbor.

"Overall, this ... book [gives] a deep insight into the application of inverse scattering to equation... Most of the current books on solution theory tend to focus mainly on inverse scattering for the KdV equation, so a book that concentrates solely on the NLS equation is refreshing."--Peter Clarkson, Bulletin of the London Mathematical Society

• *Frontmatter, pg. i*Contents, pg. v*Figures and Tables, pg. ix*Preface, pg. xi*Chapter 1. Introduction and Overview, pg. 1*Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons, pg. 13*Chapter 3. Semiclassical Soliton Ensembles, pg. 23*Chapter 4. Asymptotic Analysis of the Inverse Problem, pg. 37*Chapter 5. Direct Construction of the Complex Phase, pg. 121*Chapter 6. The Genus - Zero Ansatz, pg. 163*Chapter 7. The Transition to Genus Two, pg. 195*Chapter 8. Variational Theory of the Complex Phase, pg. 215*Chapter 9. Conclusion and Outlook, pg. 223*Appendix A. Holder Theory of Local Riemann-Hilbert Problems, pg. 229*Appendix B. Near-Identity Riemann-Hilbert Problems in L2, pg. 253*Bibliography, pg. 255*Index, pg. 259